Author:
Konor Celal S.,Randall David A.
Abstract
Abstract. We use a normal-mode analysis to investigate the impacts of the horizontal
and vertical discretizations on the numerical solutions of the
quasi-geostrophic anelastic baroclinic and barotropic Rossby modes on a
midlatitude β plane. The dispersion equations are derived for the
linearized anelastic system, discretized on the Z, C, D, CD, (DC), A, E and B
horizontal grids, and on the L and CP vertical grids. The effects of various
horizontal grid spacings and vertical wavenumbers are discussed. A companion
paper, Part 1, discusses the impacts of the discretization on the
inertia–gravity modes on a midlatitude f plane. The results of our normal-mode analyses for the Rossby waves overall support
the conclusions of the previous studies obtained with the shallow-water
equations. We identify an area of disagreement with the E-grid solution.
Reference6 articles.
1. Arakawa, A. and Konor, C. S.: Unification of the anelastic and
quasi-hydrostatic systems of equations, Mon. Weather Rev., 137, 710–726,
2009.
2. Dukowicz, J. K.: Mesh effects for Rossby waves, J. Comput. Phys., 160,
336–368, 1995.
3. Konor, C.: Codes and data used for plotting some figures in Konor and Randall
(2017), Zenodo, https://doi.org/10.5281/zenodo.1117930, 2017.
4. Konor, C. S. and Randall, D. A.: Impacts of the horizontal and vertical grids
on the numerical solutions of the dynamical equations – Part 1:
Nonhydrostatic inertia–gravity modes, Geosci. Model Dev., 11, 1753–1784,
https://doi.org/10.5194/gmd-11-1753-2018, 2018.
5. Neta, B. and Williams, R. T.: Rossby wave frequencies and group velocities
for finite element and finite difference approximations to the
vorticity-divergence and primitive forms of the shallow-water equations, Mon.
Weather Rev., 117, 1439–1457, 1989.
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